3 papers
math.PR2025
The Analogue of Aldous' spectral gap conjecture for the generalized exclusion process
Kazuna Kanegae, Hidetada Wachi
Caputo, Ligget, and Richthammer proved Aldous' spectral gap conjecture, which asserts that the spectral gaps of a random walk and an interchange process on the common weighted grap…
math.CO2024
Decision problem on interactions
Hidetada Wachi
An interaction is a certain symmetric graph that describes the possible transition of states of adjacent sites of large-scale interacting systems. In the series of studies Bannai-K…
math.PR2024
On Interactions for Large Scale Interacting Systems
Kenichi Bannai, Jun Koriki, Makiko Sasada +2
Statistical mechanics explains the properties of macroscopic phenomena based on the movements of microscopic particles such as atoms and molecules. Movements of microscopic particl…